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DINI LIPSCHITZ FUNCTIONS FOR THE GENERALIZED FOURIER-DUNKL TRANSFORM IN THE SPACE $L_{\alpha,n}^{2}$

Yıl 2017, Cilt: 5 Sayı: 1, 92 - 98, 01.04.2017

Öz

Using a generalized translation operator, we obtain an analog of Younis Theorem 5.2 in [5] for the generalized Fourier-Dunkl transform for functions satisfying the Fourier-Dunkl Dini Lipschitz condition in the space $L_{\alpha,n}^{2}$.

Kaynakça

  • [1] Al Sadhan, S.A., Al Subaie, R.F. and Mourou, M.A. Harmonic Analysis Associated with A First-Order Singular Differential-Difference Operator on the Real Line. Current Advances in Mathematics Research, 1,(2014), 23-34.
  • [2] E.S. Belkina and S.S. Platonov, Equivalence of K-Functionnals and Modulus of Smoothness Constructed by Generalized Dunkl Translations, Izv. Vyssh. Uchebn. Zaved. Mat., 8,(2008), 3-15.
  • [3] Dunkl, C.F. Differential-Difference Operators Associated to Reflection Groups. Transactions of the American Mathematical Society, 311,(1989), 167-183.
  • [4] Dunkl, C.F. Hankel Transforms Associated to Finite Reflection Groups. Contemporary Mathematics, 138,(1992), 128- 138.
  • [5] Younis M.S. Fourier transforms of Dini-Lipschitz Functions. Int. J. Math. Math. Sci. 9 (2),(1986), 301312. doi:10.1155/S0161171286000376.
  • [6] Al Subaie, R.F. and Mourou, M.A. Inversion of Two Dunkl Type Intertwining Operators on R Using Generalized Wavelets. Far East Journal of Applied Mathematics, 88,(2014), 91-120.
Yıl 2017, Cilt: 5 Sayı: 1, 92 - 98, 01.04.2017

Öz

Kaynakça

  • [1] Al Sadhan, S.A., Al Subaie, R.F. and Mourou, M.A. Harmonic Analysis Associated with A First-Order Singular Differential-Difference Operator on the Real Line. Current Advances in Mathematics Research, 1,(2014), 23-34.
  • [2] E.S. Belkina and S.S. Platonov, Equivalence of K-Functionnals and Modulus of Smoothness Constructed by Generalized Dunkl Translations, Izv. Vyssh. Uchebn. Zaved. Mat., 8,(2008), 3-15.
  • [3] Dunkl, C.F. Differential-Difference Operators Associated to Reflection Groups. Transactions of the American Mathematical Society, 311,(1989), 167-183.
  • [4] Dunkl, C.F. Hankel Transforms Associated to Finite Reflection Groups. Contemporary Mathematics, 138,(1992), 128- 138.
  • [5] Younis M.S. Fourier transforms of Dini-Lipschitz Functions. Int. J. Math. Math. Sci. 9 (2),(1986), 301312. doi:10.1155/S0161171286000376.
  • [6] Al Subaie, R.F. and Mourou, M.A. Inversion of Two Dunkl Type Intertwining Operators on R Using Generalized Wavelets. Far East Journal of Applied Mathematics, 88,(2014), 91-120.
Toplam 6 adet kaynakça vardır.

Ayrıntılar

Konular Mühendislik
Bölüm Articles
Yazarlar

S. El Ouadıh

R. Daher

M. El Hamma Bu kişi benim

Yayımlanma Tarihi 1 Nisan 2017
Gönderilme Tarihi 17 Şubat 2017
Kabul Tarihi 23 Ağustos 2016
Yayımlandığı Sayı Yıl 2017 Cilt: 5 Sayı: 1

Kaynak Göster

APA Ouadıh, S. E., Daher, R., & Hamma, M. E. (2017). DINI LIPSCHITZ FUNCTIONS FOR THE GENERALIZED FOURIER-DUNKL TRANSFORM IN THE SPACE $L_{\alpha,n}^{2}$. Konuralp Journal of Mathematics, 5(1), 92-98.
AMA Ouadıh SE, Daher R, Hamma ME. DINI LIPSCHITZ FUNCTIONS FOR THE GENERALIZED FOURIER-DUNKL TRANSFORM IN THE SPACE $L_{\alpha,n}^{2}$. Konuralp J. Math. Nisan 2017;5(1):92-98.
Chicago Ouadıh, S. El, R. Daher, ve M. El Hamma. “DINI LIPSCHITZ FUNCTIONS FOR THE GENERALIZED FOURIER-DUNKL TRANSFORM IN THE SPACE $L_{\alpha,n}^{2}$”. Konuralp Journal of Mathematics 5, sy. 1 (Nisan 2017): 92-98.
EndNote Ouadıh SE, Daher R, Hamma ME (01 Nisan 2017) DINI LIPSCHITZ FUNCTIONS FOR THE GENERALIZED FOURIER-DUNKL TRANSFORM IN THE SPACE $L_{\alpha,n}^{2}$. Konuralp Journal of Mathematics 5 1 92–98.
IEEE S. E. Ouadıh, R. Daher, ve M. E. Hamma, “DINI LIPSCHITZ FUNCTIONS FOR THE GENERALIZED FOURIER-DUNKL TRANSFORM IN THE SPACE $L_{\alpha,n}^{2}$”, Konuralp J. Math., c. 5, sy. 1, ss. 92–98, 2017.
ISNAD Ouadıh, S. El vd. “DINI LIPSCHITZ FUNCTIONS FOR THE GENERALIZED FOURIER-DUNKL TRANSFORM IN THE SPACE $L_{\alpha,n}^{2}$”. Konuralp Journal of Mathematics 5/1 (Nisan 2017), 92-98.
JAMA Ouadıh SE, Daher R, Hamma ME. DINI LIPSCHITZ FUNCTIONS FOR THE GENERALIZED FOURIER-DUNKL TRANSFORM IN THE SPACE $L_{\alpha,n}^{2}$. Konuralp J. Math. 2017;5:92–98.
MLA Ouadıh, S. El vd. “DINI LIPSCHITZ FUNCTIONS FOR THE GENERALIZED FOURIER-DUNKL TRANSFORM IN THE SPACE $L_{\alpha,n}^{2}$”. Konuralp Journal of Mathematics, c. 5, sy. 1, 2017, ss. 92-98.
Vancouver Ouadıh SE, Daher R, Hamma ME. DINI LIPSCHITZ FUNCTIONS FOR THE GENERALIZED FOURIER-DUNKL TRANSFORM IN THE SPACE $L_{\alpha,n}^{2}$. Konuralp J. Math. 2017;5(1):92-8.
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